TuTh 2:30 - 3:50pm S B Union 226

**Instructor:** Ljudmila Kamenova
**Office:** Math Tower 3-115

**Office hours:** Wed 4 - 6 pm in Math 3-115, Wed 1:30 - 2:30 pm
in the MLC

**Grader:** Stephen Dalton (sdalton at math dot sunysb dot edu)

**Grader's office hours:** Tue 12-2 pm in the MLC, Thu 5:30-6:30 pm in Math
Tower 2-119

The Instructor may be reached by e-mail at
kamenova@math.sunysb.edu.

**Course Description:**
Congruences, quadratic residues, quadratic forms, continued fractions,
Diophantine equations, number-theoretical functions, and properties of
prime numbers.

HW **1** (due on Feb 7): Section 1.2. Problems 15 and 32 (*for extra
credit: Problem 47*); Section 1.3. Problems 11 and 31

HW **2** (due on Feb 14): Section 2.1. Problems 10, 34 and 38;
Section 2.2. Problem 11 (*for extra credit: Problem 12*)

HW **3** (due on Feb 21): Section 2.3. Problems 3, 14 and 25;
Section 2.6. Problem 3 (*for extra credit: Problem 6*)

HW **4** (due on Feb 28): Section 2.8. Problem 36. This is a long
problem with many parts. Each part is worth 10 points. If you get stuck on
one part, you may assume it in the later parts.

HW **5** (due on March 7): Section 3.1. Problems 4 and 10;
Section 3.2. Problems 1 and 2.

HW **6** (due on March 28): Section 3.4. Problems 7, 8 and 9;
Section 3.5. Problem 3.

HW **7** (due on April 4): Section 4.2. Problems 5 and 9;
Section 4.3. Problems 2 and 7.

HW **8** (due on April 11): Section 4.5. Problems 1, 2 and 15.

HW **9** (due on April 25): Section 5.1. Problem 2, Section 5.2.
Problem 1, Section 5.3. Problem 11, Section 5.4. Problem 1
(*for extra credit: Problem 5*)

HW **10** (due on May 2): Section 9.1. Problem 7, Section 9.2.
Problem 1, Section 9.3. Problem 2

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